1. Exam Review
Spring 2014

2. 5.3
Solve the following trigonometric equations in the interval [0,2pi).

3. 5.4
Find the exact value of

4. 5.5
Given cos x = 3/5 and sin y = -12/13 evaluate the following. (Hint draw triangles)
Cos (x+y)
Sin 2x
Cos2y

5. 6.1./6.2
Solve the following triangles using Law of Sines and/or Law of Cosines.

6. 8.2/8.3
Find AB, A+B, 2A-B.
Find the inverse of A.

7. 8.4/8.5
Solve for y given the following system. Use Cramer’s Rule.

8. 9.2
Find the first 5 terms of the arithmetic sequence given the first terms is 13 and d=-4.
Find the sum of the first 10 terms in the sequence 8,26,44,62,…

9. 9.3 How do we know if a sequence is geometric or arithmetic?
Find the sum of the first 5 terms of the geometric series if the second term is -18 and the fifth term is 2/3.

10. 9.5
Expand and simplify

11. 9.6 What’s the difference between a combination and a permutation?
Evaluate
In how many orders can 5 girls and 3 boys walk through a doorway in single file with no restrictions? With the girls walking before the boys.

12. 9.7
Given a standard 52 deck of cards find the following probabilities.
Picking one card from a deck of 52 cards, find the probability that:
The card is higher than 9
The card is a red card
The card is a face card or a 2
The card is a face card or red

13.
Identify the conic, put in standard form. Identify the center, vertices, and foci.

14. 10.6 Convert the following rectangular coordinate to polar (-2,-2).
Convert the following polar coordinate to rectangular
Convert to polar form.

15. 10.7
Identify the following polar graphs.

16.
Where does the limit not exist?

17. 12.2
Evaluate the following limits.

18. Give the exact value for each.